Abstract
In our former paper, we discussed the outline about how to develop a GP system which should be easy to use even by PC-users. The interest of this paper is centred around showing the detailed algorithm for solving GP models throush discussing mainly the utilization of combination of the Product Form of the Inverse with the Lexicographic Rule of Cycling Prevention. The paper also shows an attempt to expand the system for improving its practicability by combining a decomposition approach with the two-step-modelling method proposed in our paper. Finally we show an application case to clarify the applicability of the system.